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Here is main scheme of my written assignment. I will be updating it acording to my research, adding new topics as much as I find more interesting information.
1. Defining "sound" as a phenomenun.
2. Definig "sound", "music" and "noise".
3. First discovery about Music and mathematics: Pythagorean Society and The Golden Ratio.
4. Mathematical expression of musical scale: Equivalence between mathematical formulas and musical partitures.
5. Geometrical rigid transfomations: translation, rotation, reflection, reversion.
6. Composing musical patterns using rigid transformations.
7. Applying probabilities at musical composition.
Right now, I'm usig two web articles to work on my assignment. These are the references:
Here is main scheme of my written assignment. I will be updating it acording to my research, adding new topics as much as I find more interesting information.
1. Defining "sound" as a phenomenun.
2. Definig "sound", "music" and "noise".
3. First discovery about Music and mathematics: Pythagorean Society and The Golden Ratio.
4. Mathematical expression of musical scale: Equivalence between mathematical formulas and musical partitures.
5. Geometrical rigid transfomations: translation, rotation, reflection, reversion.
6. Composing musical patterns using rigid transformations.
7. Applying probabilities at musical composition.
Right now, I'm usig two web articles to work on my assignment. These are the references:
Tiburcio Solís, S (2008) Teoria de la Probabilidad en la composición Musical contemporánea. Tesis de Maestría. Benemérita Universidad Autónoma de Puebla, México.(http://www.sectormatematica.cl/musica/Tesis%20musica%20y%20matematicas%20Mozart.pdf)
and also http://www.gradeamathhelp.com/transformation-geometry.html.